document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335677>Question 335677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone?\r<BR>\n" );
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document.write( "Thanks!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240748 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone? <BR>\n" );
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document.write( "Let E=time taken by experienced accountant<BR>\n" );
document.write( "Let N=time taken by new accountant<BR>\n" );
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document.write( "Given: An experienced accountant can balance the books twice as fast as a new accountant. <BR>\n" );
document.write( "Therefore N=2*E  or  E=N/2<BR>\n" );
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document.write( "Let 1/N = proportion of job completed by New accountant in \"one\" hour<BR>\n" );
document.write( "Let 1/E = proportion of job completed by Experienced accountant in \"one\" hour<BR>\n" );
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document.write( "\"Every\" hour working \"together\" they will accomplish<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FN%2B1%2FE ALIGN=MIDDLE  ALT=\"1%2FN%2B1%2FE\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
document.write( "since the job takes 6 hours for both working together then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%281%2FN%2B1%2FE%29=1++ ALIGN=MIDDLE  ALT=\"6%2A%281%2FN%2B1%2FE%29=1++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%281%2F%282%2AE%29%2B1%2FE%29=1 ALIGN=MIDDLE  ALT=\"6%2A%281%2F%282%2AE%29%2B1%2FE%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (substitute N=2*E or E=N/2)<BR>\n" );
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document.write( "Solve for E<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%281%2F%282%2AE%29%2B2%2F%282%2AE%29%29=1 ALIGN=MIDDLE  ALT=\"6%281%2F%282%2AE%29%2B2%2F%282%2AE%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (common denominator)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%283%2F%282%2AE%29%29=1 ALIGN=MIDDLE  ALT=\"6%283%2F%282%2AE%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9/E=1<BR>\n" );
document.write( "E=9 hours<BR>\n" );
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